GCD of 105, 564, 650, 512 Calculator

Given Input numbers are 105, 564, 650, 512

In the factoring method, we have to find the divisors of all numbers

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (105, 564, 650, 512) = 1.

Given numbers are 105, 564, 650, 512

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 105, 564, 650, 512

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(105, 564) = 19740

GCD(105, 564) = ( 105 x 564 ) / 19740

= 105 / 564

= 105

Step2:

LCM(3, 650) = 1950

GCD(3, 650) = ( 3 x 650 ) / 1950

= 3 / 650

= 3

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 105, 564, 650, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 859, 732, 876
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Given numbers are 105, 564, 650, 512
The greatest common divisor of numbers 105, 564, 650, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 564, 650, 512 is 1.

1. What is the GCD of 105, 564, 650, 512?

GCD of given numbers 105, 564, 650, 512 is 1

2. How to calculate the greatest common divisor of 105, 564, 650, 512?

We can find the highest common divisor of 105, 564, 650, 512 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 105, 564, 650, 512 i.e 1.

3. How can I use the GCD of 105, 564, 650, 512Calculator?

Out the numbers 105, 564, 650, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.